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Simplifying 2(x + 3) = 7(x + -2) Reorder the terms: 2(3 + x) = 7(x + -2) (3 * 2 + x * 2) = 7(x + -2) (6 + 2x) = 7(x + -2) Reorder the terms: 6 + 2x = 7(-2 + x) 6 + 2x = (-2 * 7 + x * 7) 6 + 2x = (-14 + 7x) Solving 6 + 2x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 2x + -7x = -14 + 7x + -7x Combine like terms: 2x + -7x = -5x 6 + -5x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -5x = -14 + 0 6 + -5x = -14 Add '-6' to each side of the equation. 6 + -6 + -5x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -14 + -6 -5x = -14 + -6 Combine like terms: -14 + -6 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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